We discuss the dynamical quantum systems which turn out to be bi-unitary with
respect to the same alternative Hermitian structures in a infinite-dimensional
complex Hilbert space. We give a necessary and sufficient condition so that the
Hermitian structures are in generic position. Finally the transformations of
the bi-unitary group are explicitly obtained.
Publié le : 2005-04-21
Classification:
Mathematical Physics,
High Energy Physics - Theory,
Quantum Physics
@article{0504065,
author = {Marmo, G. and Scolarici, G. and Simoni, A. and Ventriglia, F.},
title = {Quantum Bi-Hamiltonian systems, alternative Hermitian structures and
Bi-Unitary transformations},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0504065}
}
Marmo, G.; Scolarici, G.; Simoni, A.; Ventriglia, F. Quantum Bi-Hamiltonian systems, alternative Hermitian structures and
Bi-Unitary transformations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504065/